A nonlinear multi-point meshing model of spur gears for determining the face load factor. (August 2018)

• Record Type: Journal Article
• Authors: Zhou, Chi; Chen, Changliang; Gui, Liangjin; Fan, Zijie
• Is Part Of: Mechanism and machine theory. Volume 126(2018)
• Page Start: 210
• Page End: 224
• Publication Date: 2018-08
• Subjects: Spur gears -- Face load factor -- Load distribution -- Finite element method -- Beam elements -- Nonlinear stiffness; Machine theory -- Periodicals; Machinery -- Periodicals; Machines -- Périodiques; Génie mécanique -- Périodiques; Machine theory; Machinery; Periodicals; 621.81
• DOI: 10.1016/j.mechmachtheory.2018.04.010
• Languages: English
• ISSNs: 0094-114X

Abstract

Highlights: A nonlinear multi-point meshing model of a spur gear pair is proposed. The effects of shaft bending and torsion on the gear mesh are considered. The load distribution and face load factor of spur gears can be obtained instantly. The proposed model is verified by comparisons with different contact analysis models. The proposed method offers significant advantages in accuracy and computational cost. Abstract: The face load factor, which takes into account the influence of the non-uniform distribution of the load over the face width on the resulting stresses, is a significant coefficient of the load capacity calculation of spur gears. In this study, a practical nonlinear multi-point meshing model of spur gears is proposed for the determination of the face load factor. Nonlinear gear meshing conditions over the face width can be simulated precisely and efficiently using the proposed nonlinear multi-point meshing model, which is composed of multiple nonlinear springs along the line of action and rigid bars connected with shaft beam element models. The static equilibrium condition of the entire spur gear system is obtained through an iterative calculation process, and both the load distribution and face load factor are obtained. The effectiveness and advantages of the proposed model are demonstrated through comparisons with different types of contact analysis models presented by previous studies.